See graph below
Explanation:
To plt the graph, first let's write the inequality with y as the subject of formula:
[tex]\begin{gathered} \text{Add 4x to both sides} \\ -4x+4x-2y\text{ }\ge\text{ 4x - 8 + 4x} \\ -2y\text{ }\ge\text{ 4x - 8} \\ \\ \text{divide thorough by -2:} \\ y\text{ }\le\text{ 4x/-2 -8/-2 (sign changes when an inequality is divided by a negative number)} \\ y\text{ }\le\text{ -2x +4} \end{gathered}[/tex]
From the equation above:
when we plot the graph, the part will be shaded such that it towards the neagative side of y axis. This is because the sign after y has less
The equal sign attached will show the line is thick and not dashed
plotting the graph:
